کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
751911 895361 2012 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the approximation of the boundary layers for the controllability problem of nonlinear singularly perturbed systems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
On the approximation of the boundary layers for the controllability problem of nonlinear singularly perturbed systems
چکیده انگلیسی

A new systematic approach to the construction of approximate solutions to a class of nonlinear singularly perturbed feedback control systems using the boundary layer functions especially with regard to the possible occurrence of the boundary layers is proposed. For example, problems with feedback control, such as the steady-states of the thermostats, where the controllers add or remove heat, depending upon the temperature registered in another place of the heated bar, can be interpreted with a second-order ordinary differential equation subject to a nonlocal three-point boundary condition. The O(ϵ)O(ϵ) accurate approximation of behavior of these nonlinear systems in terms of the exponentially small boundary layer functions is given. At the end of this paper, we formulate the unsolved controllability problem for nonlinear systems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Systems & Control Letters - Volume 61, Issue 3, March 2012, Pages 422–426
نویسندگان
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